use properties of operations to factor 8W plus 16 while using the GCF

Answer 1

To factor the expression \( 8W + 16 \) using the Greatest Common Factor (GCF), follow these steps:

1. Identify the GCF: The coefficients in the expression are 8 and 16. The GCF of 8 and 16 is 8.

2. Factor out the GCF: Divide each term in the expression by the GCF and express it in factored form.

   • For \( 8W \): \( \frac{8W}{8} = W \)
   • For \( 16 \): \( \frac{16}{8} = 2 \)

3. Write the factored form: Now, factor out the GCF (which is 8) from the original expression:

   \[ 8W + 16 = 8(W + 2) \]

Thus, the factored form of the expression \( 8W + 16 \) is:

\[ 8(W + 2) \]